Hybrid functions approach for solving fredholm and volterra integral equations

T. Shojaeizadeh
Isfahan University of Technology, Isfahan, Iran; Islamic Azad university of Qom, Qom, Iran.
Z. Abadi
Isfahan University of Technology, Isfahan, Iran.
E. Golpar Raboky
Sharif University of Technology, Tehran, Iran.

\(^{1}\)Corresponding Author: g_raboky@mehr.sharif.ir.

Copyright © 2009 T. Shojaeizadeh, Z. Abadi, E. Golpar Raboky. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Published: December, 2009.

Abstract

This paper presents a computational technique for Fredholm and Volterra integral equations of the second kind. The method based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and legendre polynomials are presented. The operational matrices of integration and product are utilized to reduce the computation of integral equation into some algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.

Keywords:

Hybrid, operational matrix, fredholm, volterra, integral equations.